One can define a presentation of a group naively (ala Dummit-Foote in Chapter 1.2), i.e., as a group generated by certain elements with certain relations such that all other relations follow from the given ones. (By "naively" I mean not formally (as being an appropriate quotient of the free group on some letters).) I was wondering, what exactly does one need to show in order to prove that two "naively presented groups" (with different presentations) are isomorphic?
2026-03-25 04:40:29.1774413629
How to prove that two groups with different presentations are isomorphic in a naive way?
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